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1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: S = 1022500 = 130.9 Sy = 8825 (а) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient.

1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: S = 1022500 = 130.9 Sy = 8825 (а) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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19 <1< 21 15 21 <1< 23 11 23 <1< 25 7 5 of 8 a) What is the modal class? b) Which class contains the median? c) Calculate an estimate for the mean of this data. d) Calculate an estimate for the standard deviation of this data. Criteria 3.5: Estimate the size of a population by the release and recapture method. 1. In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total of 75 woodlice were captured. 15 of these were found to be marked. Calculate the population of woodlice present in the wooded area. 2. Over the period of a month, you trap and tag 15 deer in a forest, and mark them with tags. You set up motion sensitive remote cameras up at various locations in the forest. 1 month later, you collect all the cameras and review the pictures. You record the results and note that the cameras took pictures of 4 tagged deer and 7 untagged Deer. What would be the total population of deer in the forest reserve? Criteria 3.4: Calculate and interpret a correlation coefficient. 1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Str = 1022500 Sy = 130.9 S = 8825
Transcribed Image Text:19 <1< 21 15 21 <1< 23 11 23 <1< 25 7 5 of 8 a) What is the modal class? b) Which class contains the median? c) Calculate an estimate for the mean of this data. d) Calculate an estimate for the standard deviation of this data. Criteria 3.5: Estimate the size of a population by the release and recapture method. 1. In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total of 75 woodlice were captured. 15 of these were found to be marked. Calculate the population of woodlice present in the wooded area. 2. Over the period of a month, you trap and tag 15 deer in a forest, and mark them with tags. You set up motion sensitive remote cameras up at various locations in the forest. 1 month later, you collect all the cameras and review the pictures. You record the results and note that the cameras took pictures of 4 tagged deer and 7 untagged Deer. What would be the total population of deer in the forest reserve? Criteria 3.4: Calculate and interpret a correlation coefficient. 1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Str = 1022500 Sy = 130.9 S = 8825
10:01 1 ll ? Search Ringer Marja Criteria 3.4: Calculate and interpret a correlation coefficient. 1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Syr = 1022500 Sy = 130.9 Sxy = 8825 (a) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient. 2. A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household's daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household's daily energy consumption are taken from 10 winter days and shown in the table. -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 2.6 28 30 26 25 26 27 26 24 22 21 You may use: Σy = 255 Exy = 283.8 Syy = 64.5 a) Find a value for the product moment correlation coefficient r for this data. b) Explain what the value of the product moment correlation tells you about the relationship between the daily temperature and the household energy consumption. 4.2. Calculate the results of combining errors when substituting values in formulae.
Transcribed Image Text:10:01 1 ll ? Search Ringer Marja Criteria 3.4: Calculate and interpret a correlation coefficient. 1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Syr = 1022500 Sy = 130.9 Sxy = 8825 (a) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient. 2. A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household's daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household's daily energy consumption are taken from 10 winter days and shown in the table. -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 2.6 28 30 26 25 26 27 26 24 22 21 You may use: Σy = 255 Exy = 283.8 Syy = 64.5 a) Find a value for the product moment correlation coefficient r for this data. b) Explain what the value of the product moment correlation tells you about the relationship between the daily temperature and the household energy consumption. 4.2. Calculate the results of combining errors when substituting values in formulae.
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